3 citations · 3 across the 12 of their papers we have counts for
12 papers
Anderson localization for CMV matrices with Verblunsky coefficients defined by the hyperbolic toral automorphism
Yanxue Lin, Shuzheng Guo, Daxiong Piao
In this paper, we prove the large deviation estimates and Anderson localization for CMV matrices on with Verblunsky coefficients defined dynamically by the h…
Invariant curves of low smooth quasi-periodic reversible mappings
Yan. Zhuang, Daxiong Piao, Yanmin Niu
In this paper, we obtain the invariant curves of quasi-periodic reversible mappings with finite smoothness. Since the reversible property is difficult to maintain in the process of…
Invariant curves of quasi-periodic reversible mappings and its application
Yan Zhuang, Daxiong Piao, Yanmin Niu
We consider the existence of invariant curves of real analytic reversible mappings which are quasi-periodic in the angle variables. By the normal form theorem, we prove that under…
Anderson localization for the quasi-periodic CMV matrices with Verblunsky coefficients defined by the skew-shift
Yanxue Lin, Daxiong Piao, Shuzheng Guo
In this paper, we study quasi-periodic CMV matrices with Verblunsky coefficients given by the skew-shift. We prove the positivity of Lyapunov exponents and Anderson localization fo…
Invariant Curves of Almost Periodic Reversible Mappings
Daxiong Piao, Xinli Zhang
In this paper, we prove some invariant curve theorems for the planar almost periodic reversible mappings. As an application, we will discuss the existence of almost periodic soluti…
Hölder continuity of the Lyapunov exponent for Schrödinger cocycle with quasi-periodic Gevrey potential and weak Liouville frequency
Licheng Fang, Daxiong Piao
For analytic quasi-periodic Schrödinger cocycles, You and Zhang [9] proved that the Lyapunov exponent is Hölder continuous for weak Liouville frequency. In this paper, we prove tha…